is 2 1311689 - 1
has 394858 decimal digits
takes 0.042 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L11FB04B08C202673double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26722.653268.6567%500000150000000.05934.8686%22.712570.1827%1.5260%
PrimeNet2560.007362.5000%60001000000.00052.5982%0.007863.4743%0.9743%
GPU722600.117165.0000%5500400000.00030.9752%0.117465.3413%0.3413%
Difference+7+22.5361+3.6567%+494500+14960000+0.0589+3.8934%+22.5950+4.8414%+4.8414%

Known prime factors (1 factor, 113.3 bits, 0.00863552% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13116891253188021731294027754368706984336935113.2714777001338470071898728923956
22 × 32 × 7 × 101 × 257 × 563 × 967 × 1783 × 128819 × 5840287
2014-06-0312881958402871.415e+110.02020.0273

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00eteov4_computers2000002000000---0.014--2.779%
2014-06-03T07:04:00mikrMSI5000001500000035113.2710.0590.0830.1194.869%
2016-03-17T19:04:48alpertronManual testing5000001500000012-
skipped known factor: 12531880217312940277543687069843369
--0.059--4.869%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21257--0.015--
2003-06-17T00:00:00ANONYMOUSv4_computers21258--0.029--
2022-03-07T17:32:10LordJuliusManual testing258260--0.088--
2009-02-14T15:55:00Sturle Sundeghirardelli.ifi260261--0.117--
2011-05-09T14:43:00XyzzyManual testing261262--0.234--
2013-01-07T13:47:00dbaughManual testing262263--0.748--


ECM factoring results:

Old Calculation Method

Total ECM effort:20.817 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:20.817 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002519.70
250000350000005011.12


Lucas-Lehmer results:
No L-L results for M1311689


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T02:06:36Oliver KruseGTX-0
12531880217312940277543687069843369
4212B83591AB37__no
2017-10-22T06:32:47kkmrkkblmbrbkold
12531880217312940277543687069843369
4212B83591AB37__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
267
263
262
261
260
258
257
250
260
270
280
290
2100
2110
2120
Last modified: 2022-03-07T17:32:10+00:00